Finding the Third Proportional to 123,852 and 263,688

Step by Step Solution

1. Step 1: Write the proportion equation
   123,852 : 263,688 = 263,688 : x
2. Step 2: Convert to fraction form
   123,852/263,688 = 263,688/x
3. Step 3: Cross multiply
   123,852x = 263,688 × 263,688
4. Step 4: Simplify right side
   123,852x = 69,531,361,344
5. Step 5: Solve for x
   x = 69,531,361,344/123,852
6. Step 6: Final answer
   x = 561,406.85